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- W2951240082 abstract "Let G be a finite abelian group of order n. For a complex valued function f on G, let fht denote the Fourier transform of f. The uncertainty inequality asserts that if f neq 0 then |supp(f)| |supp(fht)| geq n. Answering a question of Terence Tao, the following improvement of the classical inequality is shown: Let d_1<d_2 be two consecutive divisors of n. If d_1 leq k=|supp(f)| leq d_2 then: |supp(fht)| geq frac{n(d_1+d_2-k)}{d_1 d_2}" @default.
- W2951240082 created "2019-06-27" @default.
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- W2951240082 date "2003-12-22" @default.
- W2951240082 modified "2023-09-27" @default.
- W2951240082 title "An uncertainty inequality for finite abelian groups" @default.
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